In English, the word 'break' is used to say that something is stopping permanently, or pausing momentarily. A person can break up with a lover/spouse (Jack and Jill have broken up, because they felt they had gone through too many problems! ) , or break off a friendship, or take a break from anything stressful, or eat breakfast.

Incidentally, I think #3, "sin parar" relates to a different phrase, a different post, "straight through," as in, "The band never took a break, they played straight through the concert." If I am mistaken,please correct me, but I am trying to learn Spanish, too. Is this your understanding? "Sin parar" = "straight through" (??)

1. when you don't believe what somebody says; it's a almost a scornful or mocking response.
-I once went for 50 hours without sleep.
-Oh, give me a break; that's impossible!

2. when you find something ridiculous or excessive; again, you are expressing exasperation
-She hasn't left her house for a month, since she broke up with her boyfriend.
-Oh, give me a break; that's a bit too much!

3. when you are being dismissive of advice or assessment you find ludicrous, unnecessary, or simply not in order
-I think you should apologize for missing the date.
-Oh, give me a break; she cancels on me all the time!

I find coming up with examples of these expressions difficult, don't you Venus? These are words we say without thinking in a specific situation and to come up with them artificially is work! So, with that said, this is what I can think of at the moment:

Antonio, your sentence with sports is good.
"We're playing against the best team in town tomorrow. I hope they give us a break." as in, I hope they give us a chance to at least do well.

A student hands in a paper to the teacher completely crumpled and illegible. The teacher says to the student with exasperation: "Come on! Give me a break." as in This is awful. Why are you doing this to me?

I am watching TV and something very silly comes on. "Oh, give me a break!" as in This is a stupid show or commercial.